I'm still angry over the "cold root syndrome" crap that so much hulllaballoo was made about, back in the late 90's/early 2000's. I read every article and website I could find about it and nearly took the plunge with a DIY version, but never did.
Glad I didn't.
Now the final answer to this question regarding the tempered glass---- tempered glass is usually quite tough against heat. However it is NOT good with thermal expansion.
If this thing gets really warm, I suppose it could case the tempered to want to expand, and the silicone joints around (or on top of) it could give it pressure. I had a fireplace glass door explode once (in the summer, no fire at all, just a normal day) because the glass was tempered but siliconed in place and had nowhere to expand. The company that sold the fireplace had a recall on it, so they sent us new tempered doors where the glass was NOT glued in place, they were only "trapped" but had some wiggle to them. No more boom.
Try this at your own risk, I can't give you a definitive answer.
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